need advice on establishing my LBS meadow
I'm hoping that someone with some experience at establishing Little Bluestem can advise me on my home project. I'm in northern Rhode Island and have a small area of about 1,500 square feet that I am trying to establish as a native meadow. I killed all the vegetation in the area by leavng it under black plastic for a year. Then last November I raked off all the dead vegetation. Around the beginning of December I broadcast Little Bluestem seed, along with smaller amounts of some other native grasses and some wildflowers. Here's my problem. This May a bunch of crabgrass has come up, fairly thickly in some areas. I've mowed the entire area once to about 4 inches, but the crabgrass is still rather thick. Will the LBS make it if I keep mowing the area to 4 inches? I don't know how to identify the LBS, so I can't even say how it's doing. From what I've read it grows mainly downward for the first couple years. For all I know it's doing fine, but I'm a bit worried by this crabgrass.
Any adviced or encouragement much appreciated!!!